How to find mass given pressure and temperature

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SUMMARY

The mass of steam in a 3-m³ rigid vessel at 10 MPa and 500°C is calculated using the specific volume from the steam tables. The specific volume at these conditions is 0.032811 m³/kg. By applying the formula for mass, where mass equals total volume divided by specific volume (mass = V/v), the mass is determined to be 91 kg. This calculation confirms the relationship between pressure, temperature, and specific volume in thermodynamics.

PREREQUISITES
  • Understanding of steam tables and superheated steam properties
  • Familiarity with the Ideal Gas Law (PV=nRT)
  • Basic knowledge of thermodynamic principles
  • Ability to perform unit conversions and calculations
NEXT STEPS
  • Study the properties of superheated steam using steam tables
  • Learn about the Ideal Gas Law and its applications in thermodynamics
  • Explore the concept of specific volume and its significance in fluid mechanics
  • Investigate real-world applications of steam in engineering systems
USEFUL FOR

Students in thermodynamics, engineers working with steam systems, and anyone involved in the study of fluid mechanics and heat transfer.

Connor Rawls
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Homework Statement


A 3-m3 rigid vessel contains steam at 10 MPa and 500 degC. The mass of the steam is?

I know this question involves using a thermo-table, I'm just very confused on how to find mass from the given information.

Homework Equations


Maybe PV=nRT

The Attempt at a Solution


I guessed at the fact that the steam is superheated water, so from there I looked up the pressure table for exactly that. From the given 10MPa, I found that the specific volume at 500 degC is 0.032811 m^3/kg. I'm lost on how to get a mass from this. My only guess is to use a total volume, V, and divide V by the specific volume, v. [ V/v ]
 
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I solved it. Apparently 3-m3 means a Volume of 3 m^3. From there I divided V/v = 3/0.032811 = 91 kg.
 

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